Nonlinear response theory on the Keldysh contour
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Nonlinear response theory on the Keldysh contour. / Hansen, Thorsten; Pullerits, Tõnu.
I: Journal of Physics B: Atomic, Molecular and Optical Physics, Bind 45, Nr. 15, 154014, 14.08.2012.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Nonlinear response theory on the Keldysh contour
AU - Hansen, Thorsten
AU - Pullerits, Tõnu
PY - 2012/8/14
Y1 - 2012/8/14
N2 - Following the work of Schwinger (1961 J. Math. Phys 2 407), we present a general method for deriving quantum response functions on a closed-loop contour in the complex time plane. We focus on optical response functions of linear to third order and demonstrate by projecting contour time onto the real axis how they connect to Liouville space pathways. This work highlights the close connection between the Keldysh contour and the double-sided Feynman diagrams used in nonlinear optical spectroscopy. In addition, we give a Keldysh contour derivation of the Marcus equation for electron transfer.
AB - Following the work of Schwinger (1961 J. Math. Phys 2 407), we present a general method for deriving quantum response functions on a closed-loop contour in the complex time plane. We focus on optical response functions of linear to third order and demonstrate by projecting contour time onto the real axis how they connect to Liouville space pathways. This work highlights the close connection between the Keldysh contour and the double-sided Feynman diagrams used in nonlinear optical spectroscopy. In addition, we give a Keldysh contour derivation of the Marcus equation for electron transfer.
U2 - 10.1088/0953-4075/45/15/154014
DO - 10.1088/0953-4075/45/15/154014
M3 - Journal article
AN - SCOPUS:84864451643
VL - 45
JO - Journal of Physics B: Atomic, Molecular and Optical Physics
JF - Journal of Physics B: Atomic, Molecular and Optical Physics
SN - 0953-4075
IS - 15
M1 - 154014
ER -
ID: 209793658